14196168000 has 896 divisors, whose sum is σ = 61242854400. Its totient is φ = 3151872000.

The previous prime is 14196167989. The next prime is 14196168043. The reversal of 14196168000 is 86169141.

It is a happy number.

It is a Harshad number since it is a multiple of its sum of digits (36).

It is a congruent number.

It is an unprimeable number.

It is a pernicious number, because its binary representation contains a prime number (13) of ones.

It is a polite number, since it can be written in 127 ways as a sum of consecutive naturals, for example, 61991886 + ... + 61992114.

It is an arithmetic number, because the mean of its divisors is an integer number (68351400).

Almost surely, 2^14196168000 is an apocalyptic number.

14196168000 is a gapful number since it is divisible by the number (10) formed by its first and last digit.

It is an amenable number.

It is a practical number, because each smaller number is the sum of distinct divisors of 14196168000, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (30621427200).

14196168000 is an abundant number, since it is smaller than the sum of its proper divisors (47046686400).

It is a pseudoperfect number, because it is the sum of a subset of its proper divisors.

14196168000 is a wasteful number, since it uses less digits than its factorization.

14196168000 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 313 (or 287 counting only the distinct ones).

The product of its (nonzero) digits is 10368, while the sum is 36.

The spelling of 14196168000 in words is "fourteen billion, one hundred ninety-six million, one hundred sixty-eight thousand".